Finding the Fourth Proportional to 1,409.74, 1,945.38 and 820.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.74 : 1,945.38 = 820.30 : x
2. Step 2: Convert to fraction form
   1,409.74/1,945.38 = 820.30/x
3. Step 3: Cross multiply
   1,409.74x = 1,945.38 × 820.30
4. Step 4: Simplify right side
   1,409.74x = 1,595,795.21
5. Step 5: Solve for x
   x = 1,595,795.21/1,409.74
6. Step 6: Final answer
   x = 1,131.98